Question

1) 4/91×x=19/90 2) 1/2,x+5,1/4=6,1/4

Answer 1

Вот первое уравнение

Answer 2

Let's solve the equations step by step:

1. 4/91 × x = 19/90

To solve this equation, we can start by cross-multiplying:

4/91 × x = 19/90

(4/91) × x × (90/1) = (19/90) × (91/1)

Canceling out common factors:

4 × x × 10 = 19 × 1

40x = 19

Dividing both sides by 40:

x = 19/40

So the solution to the equation is x = 19/40.

2. 1/2 + x + 5 + 1/4 = 6 + 1/4

To solve this equation, we can combine like terms on both sides:

1/2 + x + 5 + 1/4 = 6 + 1/4

Combining the fractions:

9/4 + x + 5 = 6 + 1/4

Next, we can simplify further by adding the whole numbers together:

9/4 + x + 5 = 6 + 1/4

9/4 + x + 5 = 24/4 + 1/4

9/4 + x + 5 = 25/4

To solve for x, we can subtract 9/4 and 5 from both sides:

x + 9/4 + 5 - 9/4 - 5 = 25/4 - 9/4 - 5

x + 1 = 16/4

Simplifying further:

x + 1 = 4

Subtracting 1 from both sides:

x + 1 - 1 = 4 - 1

x = 3

So the solution to the equation is x = 3.

Therefore, the solutions to the given equations are x = 19/40 and x = 3.